Deutsch English Français Italiano |
<vktm9b$1hmvu$1@dont-email.me> View for Bookmarking (what is this?) Look up another Usenet article |
Path: ...!feeder3.eternal-september.org!news.eternal-september.org!eternal-september.org!.POSTED!not-for-mail From: WM <wolfgang.mueckenheim@tha.de> Newsgroups: sci.math Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary) Date: Mon, 30 Dec 2024 09:40:11 +0100 Organization: A noiseless patient Spider Lines: 22 Message-ID: <vktm9b$1hmvu$1@dont-email.me> References: <vg7cp8$9jka$1@dont-email.me> <vjc65g$1i9vk$3@dont-email.me> <vjf7kl$2s7e5$1@dont-email.me> <vjfmq3$2upa9$3@dont-email.me> <c6b624cb0b1b55d54aab969ee5b4e283ec7be3cd@i2pn2.org> <vjhp8b$3gjbv$1@dont-email.me> <dc9e7638be92c4d158f238f8c042c8559cd46521@i2pn2.org> <vjjg6p$3tvsg$1@dont-email.me> <c31edc62508876748c8cf69f93ab80c0a7fd84ac@i2pn2.org> <vjka3b$1tms$3@dont-email.me> <e11a34c507a23732d83e3d0fcde7b609cdaf3ade@i2pn2.org> <vjmse3$k2go$2@dont-email.me> <069069bf23698c157ddfd9b62b9b2f632b484c40@i2pn2.org> <vjooeq$11n0g$2@dont-email.me> <2d3620a6e2a8a57d9db7a33c9d476fe03cac455b@i2pn2.org> <vjrfcc$1m1b2$1@dont-email.me> <75921cc1f17cdb691969a99e666f237cd09c0b09@i2pn2.org> <vjsrp1$1tqvv$2@dont-email.me> <25729298b142c60d5b245231984119d42d4ac089@i2pn2.org> <vko14j$53b6$3@dont-email.me> <vko1vp$5mmo$1@dont-email.me> <vko2a3$5mmo$3@dont-email.me> <vkpkbr$fnhj$2@dont-email.me> <vkraki$tpqs$3@dont-email.me> <vkshm4$17741$1@dont-email.me> <vksjeq$17bf0$1@dont-email.me> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Mon, 30 Dec 2024 09:40:11 +0100 (CET) Injection-Info: dont-email.me; posting-host="65af5485a7f97f89a632727ef32ab2aa"; logging-data="1629182"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1/AbbrSf8GaZRnaZBS4U4ydWX5jHkPRR8I=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:yrmzY/x/8UeVDAoy6e+fEEK7pBA= In-Reply-To: <vksjeq$17bf0$1@dont-email.me> Content-Language: en-US Bytes: 2840 On 29.12.2024 23:45, Moebius wrote: > Am 29.12.2024 um 23:15 schrieb Chris M. Thomasson: >> On 12/29/2024 3:09 AM, WM wrote: > >>> My theorem: Every union of FISONs which stay below a certain >>> threshold stays below that threshold. > > Your "theorem" is false, Mückenheim. There's a simple counter example: > > For each and every FISON F: F c_strict (WM: "below") IN. But the union > of all FISONs is not c_strict (WM: "below") IN but = IN. That is not a proof but a silly claim. Believers of such garbage should be exorcized from public discussions about mathematics. FISONs do not grow by unioning them. All FISONs and their unions stay below 1 % of ℕ. Proof: Every FISON that is multiplied by 100 remains a FISON that can be multiplied by 100 without changing this property. Regards, WM